[go: up one dir, main page]

Search a number
-
+
266643144 = 233383107139
BaseRepresentation
bin11111110010010…
…10011011001000
3200120201212122000
433321022123020
51021230040034
642243031000
76415300155
oct1771123310
9616655560
10266643144
11127570a39
127536b460
134331bc11
14275ad22c
1518620599
hexfe4a6c8

266643144 has 128 divisors (see below), whose sum is σ = 762048000. Its totient is φ = 86363712.

The previous prime is 266643137. The next prime is 266643161. The reversal of 266643144 is 441346662.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 266643099 and 266643108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1918227 + ... + 1918365.

It is an arithmetic number, because the mean of its divisors is an integer number (5953500).

Almost surely, 2266643144 is an apocalyptic number.

266643144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266643144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024000).

266643144 is an abundant number, since it is smaller than the sum of its proper divisors (495404856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

266643144 is a wasteful number, since it uses less digits than its factorization.

266643144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 266643144 is about 16329.2113710369. The cubic root of 266643144 is about 643.6406634431.

The spelling of 266643144 in words is "two hundred sixty-six million, six hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 107 108 139 166 214 216 249 278 321 332 417 428 498 556 642 664 747 834 856 963 996 1112 1251 1284 1494 1668 1926 1992 2241 2502 2568 2889 2988 3336 3753 3852 4482 5004 5778 5976 7506 7704 8881 8964 10008 11537 11556 14873 15012 17762 17928 23074 23112 26643 29746 30024 34611 35524 44619 46148 53286 59492 69222 71048 79929 89238 92296 103833 106572 118984 133857 138444 159858 178476 207666 213144 239787 267714 276888 311499 319716 356952 401571 415332 479574 535428 622998 639432 803142 830664 959148 1070856 1234459 1245996 1606284 1918296 2468918 2491992 3212568 3703377 4937836 7406754 9875672 11110131 14813508 22220262 29627016 33330393 44440524 66660786 88881048 133321572 266643144